Ratios and Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction (e.g., 1/2), with a colon (e.g., 1:2), or with the word 'to' (e.g., 1 to 2).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form equivalent ratios.

Front

If the ratio of cats to dogs is 3:4, how many cats are there if there are 12 dogs?

Back

There are 9 cats. (Using the ratio 3:4, if 4 parts = 12 dogs, then 3 parts = 9 cats.)

Front

What is the missing number in the ratio 5:x = 15:45?

Back

The missing number is 15. (Cross-multiply to find x.)

Front

How do you find a missing value in a ratio table?

Back

To find a missing value, use equivalent ratios to set up a proportion and solve for the unknown.

Front

What is the ratio of 12 to 20 in simplest form?

Back

The simplest form of the ratio 12:20 is 3:5.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 9 cups of flour?

Back

6 cups of sugar are needed. (Using the ratio 2:3, if 3 parts = 9 cups, then 2 parts = 6 cups.)